6-2(x+4)=5-2(3x+1)

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Solution for 6-2(x+4)=5-2(3x+1) equation:


Simplifying
6 + -2(x + 4) = 5 + -2(3x + 1)

Reorder the terms:
6 + -2(4 + x) = 5 + -2(3x + 1)
6 + (4 * -2 + x * -2) = 5 + -2(3x + 1)
6 + (-8 + -2x) = 5 + -2(3x + 1)

Combine like terms: 6 + -8 = -2
-2 + -2x = 5 + -2(3x + 1)

Reorder the terms:
-2 + -2x = 5 + -2(1 + 3x)
-2 + -2x = 5 + (1 * -2 + 3x * -2)
-2 + -2x = 5 + (-2 + -6x)

Combine like terms: 5 + -2 = 3
-2 + -2x = 3 + -6x

Solving
-2 + -2x = 3 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-2 + -2x + 6x = 3 + -6x + 6x

Combine like terms: -2x + 6x = 4x
-2 + 4x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 4x = 3 + 0
-2 + 4x = 3

Add '2' to each side of the equation.
-2 + 2 + 4x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 3 + 2
4x = 3 + 2

Combine like terms: 3 + 2 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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